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Finding the Fourth Proportional to 12,576.36, 17,354.53 and 6,911.50

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Solution

The fourth proportional to 12,576.36, 17,354.53 and 6,911.50 is: 9,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.36 : 17,354.53 = 6,911.50 : x
  2. Step 2: Convert to fraction form
    12,576.36/17,354.53 = 6,911.50/x
  3. Step 3: Cross multiply
    12,576.36x = 17,354.53 × 6,911.50
  4. Step 4: Simplify right side
    12,576.36x = 119,945,834.10
  5. Step 5: Solve for x
    x = 119,945,834.10/12,576.36
  6. Step 6: Final answer
    x = 9,537.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.